Step-by-step explanation:
Suppose AB is the 3- foot high access ramp that ends at point C 20 feet along the ground and
theta is the angle of depression from the start of 3 foot high ramp at point A
Now, in ∆ ABC
m<ACB= theta ( alternate interior angle)
Therefore,
![\tan(theta) = \frac{AB}{BC}](https://tex.z-dn.net/?f=%20%5Ctan%28theta%29%20%3D%20%20%5Cfrac%7BAB%7D%7BBC%7D%20)
![\tan(theta) = \frac{3}{20}](https://tex.z-dn.net/?f=%20%5Ctan%28theta%29%20%20%3D%20%20%5Cfrac%7B3%7D%7B20%7D%20)
(theta) = tan⁻¹(3/20)
= 8.5°
Answer:
y=-3x+5
Step-by-step explanation:
So, with perpendicular equations, you flip the slope, so 1/3 becomes 3/1, and make it negative, and if it is already negative, you make it positive. So, since we have the slope, move on to the b=y-mx, so b=-4-(3)(-3), multiply to get b=-4-(-9), which makes our y-int 5.
Answer:
117.81
Step-by-step explanation:
the cylinder surface area equation
A=2πrh+2πr2=2·π·2.5·5+2·π·2.52≈117.80972
22, each side length is about 15.6. when you use Pythagorean theorem you can get it more accurate. 242 + 242=c^2 which is the side lengths squared anyways. you add to get 484=c^2 so square root and you get 22 units as you r answer!
hope it helps!